Hi Emily,
The National Council of Teachers of Mathematics (NCTM) publishes five
journals are all peer reviewed journals. If you are interested in
mathematics education research, I'd suggest you take a look at The Journal
for Research in Mathematics Education (JRME). If you are are interested in
reading articles written with for practitioners, then take a look at the
Mathematics Teacher, the Mathematics Teaching in the Middle School, Teaching
Children Mathematics and ON-Math. If you go to NCTM's website,
http://nctm.org/ and click on the tab, "Journals and Books," you'll see the
names of the five journals. Click on a name and you'll be taken to a page
which gives you free access to a limited number of articles.
Other ways of getting access...
By becoming a member of NCTM, you can subscribe to one or more of the
journals.
As a grad student, you will have access to your institution's library. Your
library may have hard copies available for you to read, or may have an
institutional subscription in which case you can access all of the NCTM
journals electronically.
Hope this helps. Good luck.
-Jeanne, for the T2T service